Theorems · Theorem · ring theory
Coalgebra.comm_comp_comul
∀ (R : Type u) (A : Type v) [inst : CommSemiring R] [inst_1 : AddCommMonoid A] [inst_2 : Module R A] [inst_3 : Coalgebra R A] [Coalgebra.IsCocomm R A], ↑(TensorProduct.comm R A A) ∘ₗ CoalgebraStruct.comul = CoalgebraStruct.comul
- Defined in
- Mathlib.RingTheory.Coalgebra.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement · cited by 10,215
- TensorProductstatement · cited by 2,545
- LinearMap.compstatement · cited by 1,642
- LinearEquiv.toLinearMapstatement · cited by 1,171
- CoalgebraStruct.comulstatement · cited by 118
- Coalgebrastatement and proof · cited by 112
- TensorProduct.commstatement · cited by 108
- Coalgebra.IsCocommstatement and proof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Coalgebra.comm_comulproof · cited by 2
- Pi.intrinsicStar_comul_commSemiringproof · cited by 0